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Finding the Fourth Proportional to 1,543.49, 2,314.69 and 957.59

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Solution

The fourth proportional to 1,543.49, 2,314.69 and 957.59 is: 1,436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.49 : 2,314.69 = 957.59 : x
  2. Step 2: Convert to fraction form
    1,543.49/2,314.69 = 957.59/x
  3. Step 3: Cross multiply
    1,543.49x = 2,314.69 × 957.59
  4. Step 4: Simplify right side
    1,543.49x = 2,216,507.64
  5. Step 5: Solve for x
    x = 2,216,507.64/1,543.49
  6. Step 6: Final answer
    x = 1,436.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.